13164

13,164 is an even composite number composed of three prime numbers multiplied together.

What does the number 13164 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

13164 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 13164:

22 × 3 × 1097

(2 × 2 × 3 × 1097)

See below for interesting mathematical facts about the number 13164 from the Numbermatics database.


Names of 13164

  • Cardinal: 13164 can be written as Thirteen thousand, one hundred sixty-four.

Scientific notation

  • Scientific notation: 1.3164 × 104

Factors of 13164

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 1102

Divisors of 13164

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 30744
  • Sum of proper divisors (its aliquot sum) s(n): 17580
  • 13164 is an abundant number, because the sum of its proper divisors (17580) is greater than itself. Its abundance is 4416

Bases of 13164

  • Binary: 110011011011002
  • Hexadecimal: 0x336C
  • Base-36: A5O

Squares and roots of 13164

  • 13164 squared (131642) is 173290896
  • 13164 cubed (131643) is 2281201354944
  • The square root of 13164 is 114.7344760741
  • The cube root of 13164 is 23.6118106163

Scales and comparisons

How big is 13164?
  • 13,164 seconds is equal to 3 hours, 39 minutes, 24 seconds.
  • To count from 1 to 13,164 would take you about three hours.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 13164 cubic inches would be around 2 feet tall.

Recreational maths with 13164

  • 13164 backwards is 46131
  • The number of decimal digits it has is: 5
  • The sum of 13164's digits is 15
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 13164 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

APA style:
Numbermatics. (2024). Number 13164 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/13164/

Chicago style:
Numbermatics. 2024. "Number 13164 - Facts about the integer". https://numbermatics.com/n/13164/

The information we have on file for 13164 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 13164, math, Factors of 13164, curriculum, school, college, exams, university, Prime factorization of 13164, STEM, science, technology, engineering, physics, economics, calculator, thirteen thousand, one hundred sixty-four.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.